### Abstract

In this paper, it is shown that the well known p-harmonic equation in the theory of quasi-conformal mappings also describes some porous medium flows. A weak formulation is made for a free boundary problem with a dam domain. An existence theorem is established for this problem which points the way to a computational approach to the solution.

Original language | English |
---|---|

Pages (from-to) | 219-230 |

Number of pages | 12 |

Journal | Applicable Analysis |

Volume | 34 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Jan 1 1989 |

Externally published | Yes |

### Fingerprint

### Keywords

- free boundary problem
- monotone operator
- p-harmonic equation
- porous media

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

**An Existence Theorem for Weak Solution of a Nonlinear Dam Problem.** / Wei, Dongming.

Research output: Contribution to journal › Article

*Applicable Analysis*, vol. 34, no. 3-4, pp. 219-230. https://doi.org/10.1080/00036818908839896

}

TY - JOUR

T1 - An Existence Theorem for Weak Solution of a Nonlinear Dam Problem

AU - Wei, Dongming

PY - 1989/1/1

Y1 - 1989/1/1

N2 - In this paper, it is shown that the well known p-harmonic equation in the theory of quasi-conformal mappings also describes some porous medium flows. A weak formulation is made for a free boundary problem with a dam domain. An existence theorem is established for this problem which points the way to a computational approach to the solution.

AB - In this paper, it is shown that the well known p-harmonic equation in the theory of quasi-conformal mappings also describes some porous medium flows. A weak formulation is made for a free boundary problem with a dam domain. An existence theorem is established for this problem which points the way to a computational approach to the solution.

KW - free boundary problem

KW - monotone operator

KW - p-harmonic equation

KW - porous media

UR - http://www.scopus.com/inward/record.url?scp=84948496888&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948496888&partnerID=8YFLogxK

U2 - 10.1080/00036818908839896

DO - 10.1080/00036818908839896

M3 - Article

VL - 34

SP - 219

EP - 230

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 3-4

ER -